Home
Class 12
MATHS
Let f (x) =x^(3). Find the intervals o...

Let f `(x) =x^(3)`. Find the intervals of monotonicity.

Text Solution

AI Generated Solution

To find the intervals of monotonicity for the function \( f(x) = x^3 \), we will follow these steps: ### Step 1: Find the first derivative of the function The first step is to compute the derivative of the function \( f(x) = x^3 \). \[ f'(x) = \frac{d}{dx}(x^3) = 3x^2 \] ...
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    RESONANCE ENGLISH|Exercise Self Practice Problems|36 Videos
  • APPLICATION OF DERIVATIVES

    RESONANCE ENGLISH|Exercise Exersise -1A|5 Videos
  • COMBINATORICS

    RESONANCE ENGLISH|Exercise Exercise-2 (Part-II: Previously Asked Question of RMO)|5 Videos

Similar Questions

Explore conceptually related problems

Let f(x)=x- sinx. Find the intervals of monotonicity.

Let f (x) =x ^(3)-3x Find f (f (x))

Let f(x) =x^(3)-3x +2. Examine the monotonicity of function at points x=0.1,2

Let f(x)=(2x)/(2x^(2)+5x+2) , find the interval for which f(x)>0.

Draw the graph of the function y=3x^(4)-4x^(3) . Discuss the points of local extremum, inflection and intervals of monotonicity.

Let f(x)=x^(3) find the point at which f(x) assumes local maximum and local minimum.

Let f(x) =x - tan^(-1)x. Prove that f(x) is monotonically increasing for x in R

Let f(x)=(3x-7)x^(2/3) . The interval in which f(x) is increasing.

Let f(x)=x^4-x^3 then find f '(2)

Let f(x)=x^3-3x^2+2x Find f'(x)